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Assessment of Inertial Confinement Fusion Targets (2013)
Board on Energy and Environmental Systems (BEES)
Board on Physics and Astronomy (BPA)

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. "2 Technical Background." Assessment of Inertial Confinement Fusion Targets. Washington, DC: The National Academies Press, 2013.

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  616  2 617  618  Technical Background 619  620  This chapter briefly introduces the key concepts necessary to understand inertial 621  confinement fusion (ICF), inertial fusion energy (IFE), and target physics. 622  623  INERTIAL CONFINEMENT FUSION AND INERTIAL FUSION ENERGY 624    625  Nuclear fusion—the process by which the nuclei of atoms such as deuterium or tritium 626  combine to form a heavier nucleus, such as that of helium—can release a significant amount of 627  energy. Fusion is the process by which energy is produced in the sun and, on a more human 628  scale, is the one of the key processes involved in the detonation of a thermonuclear bomb. 629  If this process can be tamed to provide a controllable source of energy that can be 630  converted to electricity—as the nuclear fission process is used in nuclear reactors—it is possible 631  that nuclear fusion could be a new way to produce low-carbon electricity to meet the growing 632  energy needs of the United States and the world. However, this possibility is far from imminent, 633  and a great deal of scientific and engineering work remains to be done before a commercial 634  nuclear fusion plant can be demonstrated. 635  For inertial fusion to occur in a laboratory, heating of the fuel material (typically 636  deuterium and tritium) must be confined to a small enough hot spot to overcome the Coulomb 637  repulsion of the nuclei and allow fusion to initiate in a small region of the fuel (“ignition”). If 638  successful, this process will release sufficient energy to sustain the fusion “burn” that will 639  propagate through the fuel, generating a significant energy output. Two concepts are typically 640  discussed for accomplishing this confinement: (1) magnetic confinement fusion (MCF), in 641  which magnetic fields are used to confine the plasma, and (2) ICF, the topic of the current report, 642  in which a driver delivers energy to the surface of a pellet of fuel, heating and compressing it. 643  Potential drivers include lasers, particle beams, and X-rays, among other concepts. 644  In ICF, energy supplied by the driver is applied, either directly or indirectly, to the outer 645  layer of a fuel pellet that is typically made up of an ablator material (e.g., beryllium, doped 646  plastic, or high-density carbon) that explodes outward as it heats. This outward explosion of the 647  surface layer forces the remainder of the fuel (typically light elements such as deuterium and 648  tritium) to accelerate inward to conserve momentum. The timing of the inward fuel acceleration 649  is controlled carefully in order to compress the fuel using a minimum of energy. At the same 650  time, sudden increases in the driver power profile both accelerate the implosion and send shock 651  waves into the center of the fuel, heating it sufficiently that fusion reactions begin to occur.9 652  The goal of ICF is to initiate a self-sustaining process in which the energetic alpha 653  particles emitted by the ongoing fusion reactions heat the surrounding fuel to the point where it 654  also begins to undergo fusion reactions. The percentage of fuel that undergoes fusion is referred 655  to as the “burn-up fraction.” The fuel gain G (defined as the ratio of the total energy released by 656  the target to the driving beam energy impinging upon it) depends on the burn-up fraction, and 657  gains greater than about 10 will need to be demonstrated to validate the target physics of any 658  approach to a practical IFE power plant.                                                              9 What is described here is known as hot-spot ignition; other potential concepts for ignition are being considered, and are introduced briefly later in this chapter. 14   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  659  Important target physics includes processes that deflect or absorb driver energy within the 660  target; the transport of energy within the target; capsule preheat; conversion of energy to the 661  inward-directed implosion by ablation; fuel compression and heating; thermonuclear reactions; 662  transport and deposition of neutron and alpha-particle energy resulting in bootstrapping 663  thermonuclear reactions; and hydrodynamic disassembly and output. Models exist for all of these 664  processes, but some are more predictive than others. Some processes are difficult to simulate, 665  such as laser-plasma interactions, the generation and transport of hot electrons in self-consistent 666  magnetic fields, nonlocal-thermal-equilibrium atomic physics, hydrodynamic instabilities, mix, 667  and debris generation. These models continue to evolve to keep pace with experiments. Other 668  processes, such as large-scale hydrodynamics, thermonuclear reactions, and X-ray-, neutron- and 669  alpha-particle transport appear to be simulated adequately using standard numerical models. 670  The Department of Energy (DOE) is funding multiple efforts to investigate the physics of 671  ICF; many of these efforts have the potential to inform current understanding of the prospects for 672  IFE. Over the next several years, experiments will be ongoing at the National Ignition Facility 673  (NIF) at Lawrence Livermore National Laboratory (LLNL) that are aimed at achieving ICF 674  ignition. At the same time, experiments such as those at the University of Rochester's Laboratory 675  for Laser Energetics, the Naval Research Laboratory, Lawrence Berkeley Laboratory, and Sandia 676  National Laboratory continue to advance our understanding and control of ICF using different 677  technology and physics approaches. However, it should be recognized that up to this point, the 678  majority of the funding and efforts related to ICF target physics are provided by—and related 679  to—the U.S. nuclear weapons program and its stockpile stewardship efforts and are not directly 680  aimed at energy applications. 681  The DOE’s Centurion-Halite program revolved around a series of underground 682  experiments conducted in the 1980s in which target capsules were driven by the energy from 683  nuclear explosions. Additional discussion of the program is provided in classified Appendix D. 684  685  BASICS OF ICF TARGET PHYSICS AND DESIGN 686  687  Target Design: Direct and Indirect Drive, Z-pinch 688  689  There are two major concepts for ICF target design: direct-drive targets, in which the 690  driver energy (e.g., in the form of laser beams, particle beams, or magnetic field pressure) 691  directly strikes the fuel capsule (see Figure 2-1); and indirect-drive targets, in which the driver 692  energy first strikes a hollow chamber (a “hohlraum”) surrounding the fuel capsule, producing 693  energetic X-rays that compress the fuel capsule (see Figure 2-2). Conventional direct and indirect 694  drive share many key physics issues, such as energy coupling, the need for driver uniformity, and 695  hydrodynamic instabilities; however, there are issues that are unique to each concept. 696  Generally, the elements of the fuel capsule are similar for direct drive and indirect drive, 697  at least with respect to laser drivers. Fuel capsules are typically spherical, with several layers: an 698  outer ablator layer; a layer of cryogenic frozen fuel; and a center of gaseous fuel, typically 699  deuterium-tritium (D-T). A sample fuel capsule is shown in Figure 2-3. 700  15   

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PREPU UBLICATION C COPY—SUBJECT TO FURTH HER EDITORIA AL CORRECTIO ON  701  702  FIGURE 2-1 In the case of dire drive, the fuel pellet i illuminate symmetric E ect e is ed cally by the 703  driver en nergy, resulti in implos ing sion. SOURC R. Betti University of Rocheste presentat CE: i, y er, tion 704  to the NR IFE comm RC mittee titled “Tutorial on the Physic of Inertial Confinemen Fusion,” o d n cs nt on 705  April 22, 2011. , 706  707  708  709  FIGURE 2-2 In the case of indi E irect drive, driver energy incident on a hohlraum is converte to d y n m ed 710  X-rays, which then im w mpinge sym mmetrically on the fuel ca o apsule, causi it to implode. This fi ing igure 16   

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PREPU UBLICATION C COPY—SUBJECT TO FURTH HER EDITORIA AL CORRECTIO ON  711  shows the laser beam geometry used in the National Igni m u N ition Campaign (NIC) at the Lawren t nce 712  Livermor National Laboratory. LEH, laser entrance hol LPI, laser re L e le; r-plasma inteeractions; HDDC, 713  high-dennsity carbon. SOURCE: J. Lindl, LLN presenta J NL, ation to the p panel titled “ “The Nationnal 714  Ignition Campaign on NIF and It Extension to Targets f IFE,” on February 16 2011. C n ts for 6, 715  716  717  FIGURE 2-3 Sectio of a spher E on rical fuel cap psule design showing the ablator lay (in this ca e yer ase 718  pure carb bon), a layer of DT ice, and an inner core of DT gas. Source: J. Lindl, LL a LNL, 719  presentat tion to the pa titled “T National Ignition Ca anel The l ampaign on N and Its Extension to NIF o 720  Targets for IFE,” on February 16 2011. f 6, 721  722  Several of the key differe e ences betwee direct driv and indire drive for ICF are en ve ect 723  discussed briefly in the sections that follow. d t t 724  725  Direct Drive D 726  727  Direct-drive concepts for ICF using la drivers are currently being researched at the D c aser y e 728  Universit of Roches ty ster’s Labora atory for Las Energetic (LLE) and the Naval Research ser cs d 729  Laborato (NRL). Concepts usin heavy-ion beam drive are being studied at L ory C ng n ers g Lawrence 730  Berkeley National La y aboratory (LLBNL), and Sandia Natio S onal Laborat tories (SNL) is developing ) 731  direct-dri concepts for pulsed-p ive s power driver rs. 732  The major benefit of direct-drive targ design is the calculate potential for higher T get ed 733  energy ga than to in ain ndirect drive This relati e. ively large g is in larg part due to avoiding th gain ge o he 734  losses tha occur duri the conv at ing version of las beams or particle bea to X-ray in the ser r ams ys 735  hohlraum discussed in detail in the next sect m, t tion. Avoidin these loss results in a higher ng ses n 736  percentag of driver energy absorbed by the capsule in d ge direct drive, t thus increasi the effici ing iency 737  and potenntially decre easing the siz of the driv required. ze ver 17   

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PREPU UBLICATION C COPY—SUBJECT TO FURTH HER EDITORIA AL CORRECTIO ON  738  Polar direct drive is a var d riant of the sp pherically sy ymmetric, diirect-drive il llumination 739  geometry shown in Figure 2-1. As shown in Figure 2-4, t driver be y F A the eams are cluustered in one or 740  two rings at opposing poles. To increase the uniformity o the drive, polar drive beams strike the s g i of e 741  capsule obliquely, an the driver energy is bi o nd r iased in favo of the mor equatorial beams. or re l 742  Although the polar il h llumination geometry is consequentl less efficie than the spherically g ly ent 743  symmetric geometry, it is more compatible with the curr c w rent NIF con nfiguration. 744  745  746  747  FIGURE 2-4 In the polar direct E t-drive illum mination geom river beams are incident from metry, the dr 748  direction above and below the fuel capsule but not near the equator. SOURCE: R. L. McCrory, ns fu b . 749  Universit of Roches ty ster, presenta ation to the panel titled “ p “Laser-Drive Inertial Fusion Energ en gy: 750  Direct-Drive Targets Overview,” on Februar 16, 2011. s ” ry 751  752  Since the 198 there has been an on 80s, ngoing effort in laser scie t ence that has been focus sed 753  on impro oving the perrformance of direct-drive laser system for both solid-state a KrF lase f e ms and ers. 754  For solidd-state lasers, these advannces include frequency t e tripling (for improved en nergy coupliing 755  and lowe instability growth rates), smoothin by spectra dispersion (SSD), and polarization er ng al n d n 756  smoothin to reduce imprinting of beam non ng, e nuniformitie on the targ Recently LLE developed es get. y 757  SSD with multiple ph h hase-modula ation frequen ncies (Multi- -FM) and pr roposed usin this techni ng ique 758  to modify NIF for po direct dr y olar rive. 759  High-energy KrF lasers were develop to utilize the deep ul H w ped e ltraviolet (24 nm) 48 760  waveleng of the system. Induce spatial inc gth ed coherence (I ISI) was dev veloped to sm mooth the be eams, 10 761  and recen focal zo ntly ooming was demonstrat to impro the effici s ted ove iency of cou upling the las ser 762  with imp ploding targe Direct-d ets. drive target experiments on the OME e EGA laser ha shown st ave teady 763  improvem toward theoretical yield limits by combini a large n ment ds l s ing number (60) of laser beam ms, 764  better las beam smo ser oothing tech hniques, and improved b eam pointin and target placement a the ng at                                                              10 Zooming involves redu g ucing the drive spot size to match the diam er m meter of the imp ploding capsule thereby increasing e, the efficien of energy coupling betwe driver and target. ncy c een 18   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  765  target chamber center. Although historically much of the discussion of direct-drive fusion has 766  involved laser drivers (e.g., LLE’s work at the OMEGA laser facility and the Nike KrF laser 767  experiments at NRL), direct-drive ICF has potential for use with other drivers. In particular, the 768  panel was briefed on direct-drive targets by members of the LBNL heavy-ion driver program. 769  However, there are difficulties involved in using direct-drive fusion. A direct-drive 770  capsule must tolerate four major sources of perturbations to ignite and burn: drive asymmetry, 771  inhomogeneous capsule surface finish, ice roughness in the layer between the cryogenic DT and 772  the DT gas; and driver imprint.11 The effects of the driver imprint and drive asymmetry are 773  reduced for indirect drive. In addition, without a hohlraum to protect the capsule from the high 774  temperatures in the chamber, and if there is no buffer gas to protect the chamber walls from 775  emitted alpha particles, alternative methods must be found to address these threats. 776  777  Indirect Drive 778  779  As shown in Figure 2-2, indirect drive (whether using laser drivers or an alternative 780  driver, such as heavy-ion beams) consists of driver beams entering a hohlraum, which is 781  essentially a hollow cylinder, typically made of gold, or oblong capsule with (in the case of laser 782  drivers) openings on either end. LLNL is currently leading research into indirect-drive concepts 783  for laser-driven ICF at the NIF. The driver beams are directed to enter the openings on either end 784  of the hohlraum, and strike the interior of the hohlraum in four circular arrays, two near the 785  center, and two nearer the ends (see Figure 2-2). The energy deposited by the laser beams on the 786  interior of the hohlraum produces a hot plasma that radiates primarily in X-rays at a temperature 787  of about 300 eV or 3.3 million K. These X-rays are then absorbed by the capsule, resulting in 788  implosion. 789  A virtue of the hohlraum in an actual IFE target is that it functions as a thermal shroud to 790  protect the integrity of the cryogenic fuel capsule inside the target. This allows the target 791  chamber to contain an inert gas (xenon) at low pressure to help protect the walls of the target 792  chamber from X-rays emitted by high-Z materials in the exploding target. 793  794  Benefits of Indirect Drive for Smoothing 795  796  Spatial nonuniformities at any scale can significantly increase the deviation of the actual 797  implosion of an inertial fusion capsule from the conditions it was designed to achieve, with the 798  result that the conditions inside the imploded capsule lie in a less favorable location in 799  thermodynamic phase space than intended. Indirect drive of laser targets was conceived and 800  developed to eliminate the effects of nonuniformities within each laser beam delivered to the 801  target chamber. 802  The smoothing obtained through the use of indirect drive is a consequence of 803  transforming the energy of each laser from a focused beam into thermal radiation. Any 804  nonuniformity in a laser beam entering an indirect-drive target chamber transfers to the wall of 805  the hohlraum enclosing the target, heating its material to a heterogeneous plasma. This 806  heterogeneity is somewhat smoothed by energy transport processes within the radiating plasma 807  itself, but a stronger smoothing effect occurs because the X-rays originating in each localized                                                              11 For laser drivers, driver imprint occurs early in time when the target ablator is cold and dense. It is related to the asymmetries from modulations in individual laser beams (short wavelength) and perturbations from overlapping drive beams or by beams with slightly differing arrival times and angles of incidence (longer wavelength). 19   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  808  mass of plasma affect the entire portion of the target capsule surface to which it has a direct line 809  of sight. The result is that localized variations in X-ray emission are averaged over the capsule 810  surface, and rapid changes of drive conditions over the surface of the capsule are eliminated. 811  The development and use of indirect drive was the primary focus of LLNL on the 10- 812  beam NOVA laser. This experience led to the development of the NIF indirect-drive 813  configuration, which is much more sophisticated, using 192 laser beams in inner and outer 814  clusters to control symmetry and pulse shape (see Figure 2-2). 815  Although the capsule absorption of X-rays is more efficient than the direct absorption of 816  laser light in direct-drive fusion, enough energy is lost in the heating of the hohlraum to 817  significantly reduce the efficiency of indirect-drive fusion relative to direct-drive fusion. This 818  results in lower calculated potential gains for indirect-drive fusion targets. 819  As with direct drive, although its primary development historically has been with laser 820  drivers, indirect drive has been used in IFE system designs with other drivers (e.g., heavy ions 821  and early Z-pinch schemes). The key is to deposit enough energy on the inner surface of the 822  hohlraum to produce a hot plasma that radiates thermal X-rays. 823  One of the key reasons that indirect-drive targets were developed is that ICF can model 824  on a laboratory scale some aspects of a thermonuclear explosion. This is highly useful for the 825  applications of ICF at the NIF at LLNL that are related to the long-term stewardship of the U.S. 826  nuclear stockpile. This motivation has been a key aspect in the development of the indirect-drive 827  approach for IFE, since one could leverage insights from better-funded weapons programs for 828  the less well funded energy programs. However, there remains debate about whether this 829  provides significant benefits for energy generation using ICF, and some argue that the indirect- 830  drive approach—if commercialized and distributed overseas—could increase the risk that 831  nuclear weapons knowledge and information will proliferate. This topic is analyzed in more 832  detail in the classified Appendix E and in Chapter 3. 833  834  Z-pinch Target 835  836  In recent ICF and IFE studies, Z-pinch targets are imploded by the pressure of ultrahigh 837  magnetic fields generated by high currents (e.g., 20-60 MA for ~100 ns) provided by pulsed- 838  power generators rather than by the ablation pressure generated by illuminating a capsule with a 839  high-power laser. While laser fusion capsules are typically spherical shells, Z-pinch targets are 840  typically conducting cylindrical shells containing DT fuel. Since magnetic field strength 841  increases inversely with the radius of the conductor in which the current flows (I/r), as long as 842  the driver has the appropriate electrical characteristics to deliver current to the increasingly high- 843  inductance target, the magnetic pressure (proportional to B2) continues to grow, accelerating the 844  cylindrical implosion and compressing the fuel. For appropriate design conditions, the DT fuel 845  can be heated to sufficient temperature to initiate fusion reactions and compressed to sufficient 846  areal density (bulk density ρ times fuel radius r) to trap emitted alpha particles and initiate 847  bootstrap heating. 848  849  850  Physics of Different Types of Ignition 851  852  Hot-Spot Ignition 853  20   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  854  Hot-spot ignition, described briefly earlier in this chapter, is the most commonly 855  discussed and best understood method for achieving ignition. Hot-spot ignition refers to the 856  creation of a small central mass of fuel that is heated to temperatures sufficient to begin efficient 857  thermonuclear burn (~10 keV), surrounded by a larger mass of dense but colder fuel that has 858  sufficient areal density (>300 mg/cm2) to trap alpha particles and initiate bootstrap heating.12 859  The primary reason for utilizing hot-spot ignition is to minimize the driver energy 860  requirements. Heating fuel to 10 keV is energy-intensive, so the goal is to use the driver energy 861  to launch a series of shocks that simultaneously coalesce and heat only a small central mass to 862  fusion temperatures, while quasi-isentropically compressing the main fuel mass as close to the 863  Fermi-degenerate limit (the minimum energy state for high-density matter) as possible. The 864  energy deposited by fusion alpha particles rapidly heats the cold, dense main fuel, causing it to 865  reach thermonuclear burn conditions. The fusion burn terminates when the rapidly heated fuel 866  mass overcomes the inertia of implosion and explodes to lower densities and temperatures where 867  fusion reaction rates rapidly decrease (hence the term “inertial confinement”). 868  In order to use minimum driver energy, it is important to compress most of the fuel near 869  the Fermi-degenerate adiabat. At least four laser pulses are required to provide the compression 870  energy in a time-dependent fashion that is consistent with this goal. More, smaller pulses—or 871  even a continuous power profile—could also be used, but the four-pulse system is the easiest to 872  control and observe experimentally. 873  874  875  Fast Ignition 876  877  In FI, ignition is separated from the compression phase. The fuel is compressed (using 878  lasers or another driver) at a lower velocity than in hot-spot ignition. The goal is to create a fuel 879  mass that has at least the 300 mg/cm2 areal density required to capture alpha particles, but not the 880  DT temperature to initiate fusion burn. The energy to ignite a small portion of this compressed 881  fuel is provided by a high-intensity, ultrashort-pulse laser. For the correct conditions, the 882  thermonuclear burn propagates from this heated fuel volume into the rest of the cold, imploded 883  fuel. 884  The leading approach to fast ignition uses a hollow cone of high-density material inserted 885  into the fuel capsule so as to allow clean entry of this second laser beam to the compressed fuel 886  assembly (see Figure 2-5). The principle of fast ignition was first demonstrated at the Institute of 887  Laser Engineering in Osaka, Japan, in experiments performed on the Gekko-XII laser (Kodama 888  et al., 2002). 889                                                               12 R.L. McCrory, University of Rochester, presentation to the panel titled “Laser-Driven Inertial Fusion Energy: Direct-Drive Targets Overview,” on February 16, 2011. 21   

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PREPU UBLICATION C COPY—SUBJECT TO FURTH HER EDITORIA AL CORRECTIO ON  890  891  892  FIGURE 2-5 In this version of fast ignition, a short, hig E s f gh-intensity laser pulse e enters the cone of 893  a cone-an nd-capsule assembly afte the fuel ca a er apsule has been compres ssed by an earlier pulse, 894  producin a pulse of hot electron that initiat fusion. SO ng ns te OURCE: Jua Fernandez LANL, an z, 895  presentat tion to the pa titled “I anel Inertial Conffinement Fussion Targets at Los Alam Nationa s mos al 896  Laborato ory,” May, 20 011. 897  898  899  Shock Ig gnition 900  901  Shock ignitio is yet anot on ther variant on the theme of slowing the main fu implosion to o e g uel n 902  minimize driver ener requirem e rgy ments, adding one more d g drive elemen to locally h a limite nt heat ed 903  quantity of fuel to the ermonuclear burn condit r tions, and th using alp hen pha-particle d deposition too 904  propagate the burn wave into the assembled fuel mass. In shock ignit w e f n tion, rather t than using a 905  separate, high-intensity, ultrashor rt-pulse lase to heat the ignited volu er e ume, a short high-intens t, sity 906  “spike” is added to th end of the main drive pulse shape to launch a very strong shock into t he e e g the 907  fuel. This inward-pro s opagating sh hock collides with the ou s utward-propa agating shoc constituted by ck d 908  the growing region of high-densi fuel at the center, pro o ity e oducing a sph herical shell of fuel at a l 909  much hig gher tempera ature. The pr rinciple of sh hock ignition has been d n demonstrated in experim d ments 910  on the OM MEGA laser at LLE (Be et al., 2007). Since th target has a smaller ra r etti he s adius at the ttime 911  that the high-intensity spike is required to lau h y unch the fina shock, it is energetical advantag al lly geous 912  if the lase optics can accommod focal zoo er n date oming or, allternatively, if the high-intensity spik ke 913  can come from a separate set of lasers with smaller intrin spot size An issue t arises w e l nsic e. that with 914  shock ign nition is that the final, hi t igh-intensity spike excee the thres y eds shold for laseer-plasma 915  interactio which can interfere with the des ons, sired effect ( (see further d discussion in Chapter 4). n 916  917  Z-Pinch Ignition 918  919  Z-pinch targe need to ac Z ets chieve the sa overall fuel parameters—that is sufficient ame s, 920  temperatu to initiat thermonuc ure te clear burn an area mass density to i nd s initiate alpha a-particle 921  bootstrap heating of the remainin fuel mass. Since the ta p t ng argets are ty ypically cylinndrical, the 922  convergeence is only two-dimensi t ional and it is more diffi i icult to meet the ρr criter t rion. Some ttarget 923  designs work on the hot-spot ign w h nition princip in which a small cen ple, h ntral mass is shock-heate to ed 924  thermonuuclear tempeeratures. 925  Alternatively, in magnetiz A zed-target fuusion (MTF) the fuel ma is prehea by an en ), ass ated nergy 926  source (e a laser be e.g. eam) to plac it on a hig ce gher adiabat. Field coils a placed ar are round the tarrget 927  to provid a seed magnetic field throughout the fuel volu de t t ume. The ma agnetized, pr reheated fuel is l 22   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  928  then imploded at a lower implosion velocity than is used in hot-spot ignition to minimize driver 929  energy requirements. The magnetic field is applied to inhibit fuel cooling during the slow 930  implosion process (i.e., inhibit cross-field transport). The higher initial adiabat allows the 931  magnetically insulated fuel to reach thermonuclear conditions at smaller convergence ratios. The 932  principle of MTF has not yet been successfully demonstrated. MTF is normally considered more 933  as an attempt to find an easier path to ignition rather than as a path to high yield and high gain, 934  but recent numerical simulations indicate that high-gain MTF is possible using cylindrical 935  implosions with a cryogenic DT layer (Slutz and Vesey, 2012). 936  937  938  What Determines the Degree of Fuel Burn and Gain 939  940  Fusion yield Y scales strongly with capsule absorbed energy (Y ~ E5/3), which implies 941  there is a strong premium on efficiently delivering energy from the driver to the capsule. Energy 942  must be absorbed symmetrically into the fuel to avoid instabilities. Each target design has 943  different transport and deposition issues: 944  • Indirect drive (e.g., in the NIC at the NIF) requires transport of lasers through a 945  background gas and delivery through laser entrance holes (LEH) in the hohlraum (see 946  Chapter 4). Most of the driver energy goes to heating the hohlraum wall and the dense 947  plasma blown off the wall, so the process is inherently inefficient. 948  • Direct drive simplifies transport and focusing issues, but it is critical to avoid the 949  generation of hot electrons (which cause fuel preheat) from laser-plasma interactions. 950  This method is more efficient because it is direct, but symmetry and deposition 951  physics are very important. 952  • Z-pinches require a direct electrical connection between driver and target through a 953  recyclable transmission line (RTL). As the target implodes and the Z-pinch 954  inductance increases, there may be potential loss regions. Because of the RTL, each 955  shot requires the replacement of substantial structure. 956  • Heavy ions are charged particles that are susceptible to plasma instabilities when they 957  are focused to the intensities required for ICF (>500 TW). Accelerators work best at 958  low currents, so achieving a high power requires high particle energies, which makes 959  their energy deposition range long. This complicates target design. 960  961  As noted above, fusion yield is calculated to scale as absorbed energy E5/3, so delivering 962  more energy to the target results in significantly higher yield. For the same driver energy, direct 963  drive delivers more energy to the fuel than does indirect drive. Implicit in this yield-scaling is the 964  fact that the increasing fusion energy output comes from burning more fuel. Burning more fuel 965  requires compressing more fuel to near Fermi-degenerate conditions, which requires more 966  energy to be absorbed by the target. Since most of the fuel mass is in DT at solid (ice) density, 967  more fuel mass means targets of larger radius. Larger target radius has the additional benefit that 968  it increases the inertial confinement time of the fuel mass (determined by the imploded fuel 969  radius divided by the sound speed) and increases the burn-up fraction of the DT fuel 970  disassembly. The burn-up fraction depends on the areal density of the fuel capsule: 971  972  fb = ρr/(ρr + β(T)) 973  23   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  974  where β(T) = 5.5-6.5 g/cm2 for optimal burn conditions. For a burn-up fraction greater than 975  about 1/3, ρr must be greater than about 3 g/cm2. 976  All designs try to use driver energy efficiently; thus, they implode a cold mass of fuel 977  isentropically and a small amount of fuel to high temperature—either by hot-spot ignition, fast 978  ignition, or shock ignition. Instabilities can limit the propagation of burn from the ignition region 979  to the remaining fuel. “Yield over clean” (YOC) is a measure of the deviation of experiments 980  from ideal simulations. 981  982  983  Spectrum Output 984  985  The fusion reaction determines the initial partitioning of energy into alpha particles, X- 986  rays, and neutrons. The spectrum of particles hitting the IFE target chamber wall is a function of 987  the intervening materials, whether from the hohlraum, support structures (e.g., RTLs), or 988  chamber fill gas. 989  Indirect-drive targets have high-Z materials in the hohlraum that emit copious X-ray 990  radiation. Xenon gas can be used to absorb these X-rays and mitigate chamber wall damage (see 991  Chapter 4). The xenon gas will get hot, but the hohlraum is believed capable of protecting the 992  cryogenic fuel as it transits the chamber. 993  Direct drive usually assumes a vacuum in the target chamber, because the fuel pellet 994  cannot be thermally insulated from a hot background gas. A shroud containing helium gas at low 995  pressure and temperature has been considered, although it presents many difficulties. Even 996  though the target is made of low-Z materials, there are still X-rays and ions that strike the wall 997  and deposit their energy very locally. Magnetic diversion of ions is being considered in some 998  designs to protect the chamber wall. 999  Z-pinch reactors would have yields above 1 GJ and RTL structures in the chamber.13 This 1000  can lead to debris and shrapnel. The RTLs also can contain substantial residual magnetic field 1001  energy, which needs to be accounted for in determining which particles hit the wall. Thick, Li- 1002  containing liquid walls can be used to protect the chamber surface from short-range ions, 1003  neutrons, and X-rays. 1004  Heavy-ion driver concepts are tending to use liquid walls and perhaps background gases. 1005  There do not appear to be any unique or particularly challenging aspects to the heavy-ion output 1006  spectrum as compared with laser direct-drive or indirect-drive systems. 1007  1008  1009  Target Injection and Fabrication 1010  1011  For energy to be produced in a fusion reactor, the target (which is the fuel source) will be 1012  obliterated. Thus, for IFE to produce a steady flow of energy, a steady supply of new targets 1013  must be introduced into the system. The more frequently the targets are introduced and converted 1014  into energy, the more power is produced; and similarly, the more energy that is available in each 1015  target, the more power is produced. It is the details of these targets, and how efficiently the                                                              13 M. Cuneo et al., Sandia National Laboratories, presentation to the NRC IFE committee titled “Pulsed Power IFE: Background, Phased R&D, and Roadmap, April 1, 2011. 24   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  1016  energy is released, that distinguish the different concepts for IFE. These differences and 1017  technical challenges are discussed in detail in Chapter 4. 1018  How frequently targets can be introduced into the fusion reactor (the repetition rate) is 1019  determined by engineering practicalities of each fusion concept. The repetition rate for the 1020  concepts discussed here varies from 0.1 to 20 Hz. These values are calculated estimates; the 1021  technical challenges of delivering targets into the fusion chamber at these rates with the required 1022  precision, while preserving the integrity of the target, has been—in the absence of a 1023  comprehensive IFE program—only superficially addressed. Specific engineering concepts will 1024  require comprehensive testing to determine whether the proposed repetition rates, and 1025  subsequent power production, are feasible. Equally important is to understand whether any 1026  degradation to the configuration of the target during this injection process could reduce fusion 1027  performance below the calculated performance. 1028  Operating a fusion reactor at a repetition rate of 20 Hz will consume 1.728 million targets 1029  per day. No credible process for cost-effectively producing this number of targets has been 1030  developed. Current ICF experiments show that there is a technical path for manufacturing targets 1031  that meet critical specifications; whether this technical path is a viable method for mass- 1032  producing targets remains to be established. These considerations are discussed next. 1033  1034  Target Injection 1035  1036  For laser-driven IFE, the target injection process poses four challenges: accuracy and 1037  repeatability (both spatially and temporally) of target placement; ability to track the target, target 1038  survival, and clearing of the chamber. These challenges are discussed in the following 1039  paragraphs. 1040  A necessary condition for achieving the optimal energy output from each target is that the 1041  target be uniformly compressed by the laser beams. This requires the target to arrive at the same 1042  point in space and at the same instant as the multiple laser beams. For the direct-drive target, the 1043  target must be within 20 μm (rms between the centerline of laser beamlets to the centerline of the 1044  target). Concepts developed and tested as part of the High Average Power Laser (HAPL) 1045  program14 (see Box 4-2) showed that a surrogate target could be repeatedly placed within 10 mm 1046  of target chamber center, where a final engagement system does the final pointing. For the 1047  indirect-drive targets currently under development, the target is required to be within 100 μm of 1048  the focus of the laser beam,15 which appears to be within the capabilities of the system developed 1049  by the HAPL program; however, one difference between the direct- and indirect-drive 1050  approaches to fusion is that the indirect-drive approach has a higher gas pressure in the reactor 1051  chamber that may affect the repeatability of the injection process (Norimatsu et al., 2003). These 1052  are issues to be resolved in a technology development program. 1053  The second challenge is the ability to track the target to make real-time, minor 1054  corrections to the pointing of the laser beams at the target. Here technical progress was achieved 1055  during the HAPL program by demonstrating the ability to track a target moving at 5 m/s and to 1056  steer beams in real time so as to engage it with ± 28 μm accuracy (Carlson et al., 2007). The 1057  system has been designed assuming an injection velocity of 50 m/s.                                                              14 J. Sethian, Naval Research Laboratory, presentation to the panel titled “The HAPL Program to Develop the Science and Technologies for Direct-Drive Laser Fusion Energy,” September 20, 2011. 15 M. Dunne, LLNL, “LIFE Target System Performance,” presentation to the panel on July 7, 2011. 25   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  1058  The third technical challenge is to preserve the target’s critical specifications until the 1059  moment of the implosion. The problems are significantly different in this case for direct- and 1060  indirect-drive targets. For indirect-drive targets, the surrounding hohlraum will provide thermal 1061  protection. However, laser access to the target is through thin membranes (<0.1 μm thick) at each 1062  end of the hohlraum, and these holes will allow a sizeable heat load (both radiative and 1063  conductive) to be delivered to the target. The radiation portion of this heat load is reduced by the 1064  presence of internal shields within the hohlraum, which will also disrupt convective cells, but the 1065  conductive heat load is unaffected and the target’s temperature is calculated to rise ~85 mK, 1066  which is less than the 100 mK ceiling specified in one system design.16 The benefit of these 1067  structures to the target’s preservation is appreciable; however, this benefit comes at the cost of a 1068  complex structure that needs to be built to high precision, and this precision must be maintained 1069  during the acceleration loads that the target experiences when it is injected into the reactor. These 1070  loads to the target assembly have been calculated and are stated to be acceptable.17 1071  For direct-drive targets, target survival is the major challenge. The exact heat load to the 1072  target is strongly dependent on engineering parameters such as the gas pressure in the reactor 1073  chamber, the time the target is inside and exposed to the environment, and the temperature of the 1074  reactor; heat fluxes in excess of 1 W/cm2 to the target will compromise the target’s performance 1075  (Tillack et al., 2010; Bobeica, Ph.D. thesis, Bobeica et al., 2005). 1076  Multiple strategies are envisioned for minimizing the heat load; two possibilities are to 1077  add protective layers to the outer surface of the target and to minimize the gas pressure in the 1078  reactor (Petzoldt et al., 2002). Testing such strategies is a critical step in determining the 1079  engineering feasibility of the laser direct-drive fusion energy option. 1080  Finally, it is necessary to clear the chamber of debris between shots. In the past, there has 1081  been a tendency to minimize this problem because the other issues appear so much more 1082  daunting. However, new concepts, higher repetition rates (with incrementally more mass injected 1083  into the chamber per unit time), and the possibility of increasing the gas pressure in the reactor to 1084  improve the durability of the reactor structure (high gas pressure will reduce the X-ray and ion- 1085  induced damage to the chamber wall) complicate the process of clearing the chamber. 1086  Concepts for injecting targets for pulsed-power fusion energy are radically different and 1087  less fully developed than their laser-driven fusion energy counterparts. The signature difference 1088  is that targets are consumed at a rate of 0.1 Hz and that the target is a more massive structure (up 1089  to 50 kg) that includes transmission lines that couple the power to the target.18 Removing spent 1090  targets and installing new targets will be done using automated machinery.19 While this process 1091  is conceptually feasible, there remain substantial engineering considerations that need to be 1092  resolved to determine whether this process can be completed within 10 seconds. 1093  The heavy-ion fusion energy concepts originated as a variation of laser-driven concepts 1094  in which the driver energy is supplied by heavy ions accelerated by a linear accelerator. 1095  Subsequently, a variety of target-design concepts have been proposed: an indirect-drive design 1096  (3-4 GeV Bi+1); polar direct-drive design (3 GeV Hg+1); and a single-sided direct-drive                                                              16 Ibid. 17 Ibid. 18 M. Herrmann, Sandia National Laboratories, “Z-pinch Target Physics,” presentation to the panel on February 17, 2011. 19 M. Cuneo et al., Sandia National Laboratories, “The Potential for a Z-pinch Fusion System for IFE,” presentation to the panel on May10, 2011. 26   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  1097  configuration (90 GeV U+4).20 The target-design concepts use indirect-drive, direct-drive, and 1098  single-sided direct-drive configurations. The target injection challenges are similar for heavy-ion 1099  and laser-driven fusion: the indirect-drive target benefits from the thermal shielding provided by 1100  the hohlraum, while the direct-drive target remains vulnerable to the hostile environment of the 1101  reactor chamber. Beyond these commonalities with laser-driven fusion, no target injection 1102  concept specific to heavy-ion fusion has been proposed. 1103  1104  Target Fabrication 1105  1106  Before the targets can be injected into the reaction chamber they must be fabricated to 1107  tight tolerances, which requires a well understood and reliable process that is suitable for mass 1108  production. The mass fabrication challenges posed for the different types of targets vary 1109  significantly, although there are technologies common to many of the targets that will benefit all 1110  concepts for fusion energy. In this section, the key challenges are outlined for the production of 1111  these targets for laser drivers, pulsed power drivers, and heavy-ion drivers. 1112  Targets proposed for each of the fusion energy concepts have equal mixtures of 1113  deuterium and tritium as the fuel. This fuel is confined in a spherical capsule for the laser-driven 1114  concepts and most of the heavy-ion concepts or in a conical “X-target” (see Figure 2-6) or 1115  cylindrical structure (see Figure 2-7) for direct-drive heavy-ion fusion and pulsed-power fusion, 1116  respectively. Fabrication of the conical and cylindrical structures appears to be straightforward, 1117  though the exact specifications are not yet well defined or tested. Fabrication of the spherical 1118  capsules is complicated—partially owing to the design and partially owing to the tight tolerances 1119  and stringent specifications. Researchers making these targets for the ICF and the HAPL 1120  programs produced targets with specifications that are acceptable for the laser-driven fusion 1121  concepts; however, it remains to be demonstrated that the fabrication process can be scaled to 1122  satisfy the requirements of an IFE program.                                                              20 B.G. Logan, Lawrence Berkeley National Laboratory, “Heavy-Ion Target Design” presentation to the panel on July 7, 2011. 27   

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PREPU UBLICATION C COPY—SUBJECT TO FURTH HER EDITORIA AL CORRECTIO ON  1123  1124  1125  FIGURE 2-6 The heavy-ion-dri E iven “X-targ concept. B, magneti field; CH, plastic. get” . ic 1126  SOURCE B. Grant Logan, LBN “Heavy-I Target D E: L NL, Ion Design,” pressentation to the panel on July n 1127  7, 2011. 1128  28   

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PREPU UBLICATION C COPY—SUBJECT TO FURTH HER EDITORIA AL CORRECTIO ON  1129  1130  1131  FIGURE 2-7 The cy E ylindrical maagnetized lin inertial fu ner usion (MagL target co LIF) oncept. 1132  SOURCE S.A. Slutz SNL, “Design and Sim E: z, mulation of M Magnetized Liner Inertia Fusion al 1133  Targets,” presentation to the pane on May 10, 2011. ” el 1134  1135  Drive Targe Indirect-D ets 1136  1137  The indirect-d T drive targets proposed fo laser-driven IFE (e.g., in the LIFE point desig s or E gn) 1138  are a mod dification of the target cu f urrently used at the NIF. The fundam d mental desig is the sam gn me: 1139  DT fuel is contained inside a cap i psule that is supported in s nside a hohlrraum. Howev there are ver, e 1140  differenc in both th capsule an the hohlra ces he nd aum. The caapsule is a biilayered stru ucture with an n 1141  outer layer of high-de ensity carbon (diamond) and an inne layer of lo ) er ow-density hhydrocarbon 1142  foam. Th hohlraum is elliptical (rather than cylindrical a is the NIF target) and made from lead he as F d 1143  rather tha gold. Add an ditionally, in nternal memb branes (“shin shields”) are introduc to preven the ne ced nt 1144  capsule having a dire line of sig to the las entrance holes in the hohlraum. T capsule is h ect ght ser e The 1145  postulate to be manufacturable using a com ed u mbination of mmicrofluidic and vapor d c deposition 1146  technique and the DT fuel is ad es, D dded by drilli a hole 5 µ in diameter in the cap ing psule and seaaling 1147  it once th fuel is inserted. Cooli the targe assembly l he ing et liquifies the DT fuel, wh is wicke hich ed 1148  into the foam layer to make a uni f o iformly thick fuel layer. New technologies will be required to k 1149  form the foam layer inside an exi i isting capsul and those technologie need to be consistent with le, e es e 1150  a credible mass-prod e duction proce ess. 1151  1152  Drive Targets Direct-D s 1153  29   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  1154  The direct-drive target proposed for fusion energy bears a close resemblance to the 1155  direct-drive target that is proposed for experiments at the NIF.21 The fusion energy target is a 1156  spherical foam capsule that is slightly larger than the NIF direct-drive target. The outer surface 1157  of the foam capsule has a fully dense plastic overcoat (to retain the fuel) and a thin reflective 1158  metallic coating to reduce the radiative heat load to the ice. Additional outer layers may be 1159  needed to provide greater protection to the target when it is injected into the reactor chamber. 1160  The DT fuel is diffused into the plastic shell and the target assembly is cooled to form the 1161  uniformly thick ice layer. 1162  The manufacturing processes for both laser-driven target designs are scalable for mass 1163  production. However, it remains to be demonstrated that these processes can achieve the 1164  production yield required for a fusion plant given the specifications that are required. At this 1165  point, such processes are near,22 but have not yet been proven for mass production. Any changes 1166  in the target design to improve the implosion physics (resulting from experiments at the NIF) are 1167  likely to be dimensional changes that can be easily accommodated by the existing manufacturing 1168  process instead of changes in configuration that would require new technologies. 1169  Two of the targets designs that are proposed for the heavy-ion driven fusion concept use 1170  indirect- and direct-drive implosion symmetries, so the manufacturing challenges are the same as 1171  for laser-driven fusion targets. A third more recently proposed target design is a single-sided 1172  direct-drive concept where liquid DT fills an X-shaped volume (two cones joined at the apex, see 1173  Figure 2-6). No production method has been proposed, nor are any tolerances proposed for the 1174  design, although it appears this target will have similar constraints and technical challenges as 1175  the other targets. 1176  The pulsed-power fusion energy targets are distinctly different from the other fusion 1177  energy targets. There are multiple designs; one is a cylinder made from beryllium and filled with 1178  cryogenic D-T gas. This target will be straightforward to manufacture and is considerably less 1179  complex than the other target designs. However, the additional components that are needed to 1180  inject this target into a pulsed-power fusion reactor must be better defined to fully evaluate the 1181  technological challenges to making the entire target assembly.23 1182  1183  1184  Factors Most Likely to Determine the Cost of Targets 1185    1186  It is important to appreciate that the technologies for making most of the components of 1187  the targets exist already; targets are being successfully manufactured for the existing ICF 1188  program, and with a few exceptions, any changes to the target to adapt it for energy applications 1189  appear to be technically feasible. 1190  Much of the cost of the ICF target today is due to the quality assurance process, in which 1191  each target must be thoroughly evaluated because the yield of acceptable targets is so low. Any 1192  future IFE technology program will need to evaluate whether current technologies can (1) 1193  produce a more consistent product and (2) maintain the high production yield when scaled to 1194  mass production.                                                              21 P.B. Radha, University of Rochester, “Polar-Drive Target Design,” presentation to the panel on July, 7, 2011. 22 J. Sethian, NRL,“The HAPL Program to Develop the Science and Technologies for Direct-Drive Laser Fusion Energy,” presentation to the panel on September 20, 2011, and “M. Dunne, LLNL, “LIFE Target System Performance,” presentation to the panel on July 7, 2011. 23 S.A. Slutz, SNL, “Design and Simulation of Magnetized Liner Inertial Fusion Targets,” presentation to the panel May 10, 2011. 30   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  1195  The material and production costs for manufacturing the targets appear to be acceptable 1196  and will benefit from the economies of large-scale production if a viable process is developed. 1197  The costs for developing the manufacturing process and constructing the manufacturing facilities 1198  are less predictable, with the latter depending strongly on the former. However, these are one- 1199  time costs that when amortized over the number of targets that are produced during the projected 1200  lifetime of the plant will likely be a small component in the cost of each target. 1201  A contributor to the cost of the target is the cost of the tritium fuel. Fusion energy has the 1202  appeal and requirement that tritium be bred in a reactor and be self-sustaining. Neutrons from the 1203  deuterium-tritium fusion process interact with a surrounding blanket of lithium/beryllium and 1204  produce proportional quantities of tritium. Once the plant is initially fueled with tritium, the cost 1205  of sustaining the fuel will be primarily the cost of extracting tritium from the by-products of the 1206  nuclear reaction and the cost of controlling the radiological hazards. (Deuterium, the other 1207  component of the fuel, is extracted from water.) 1208    1209    1210  Tritium Inventory Considerations 1211  1212  A consideration for selecting a target production concept, and possibly even a fusion 1213  energy concept, is the amount of tritium that is required to maintain the power plant in constant 1214  operation. While tritium-breeding will allow a facility to be self-sustaining, the complexity of 1215  recovering tritium from the breeder and reactor-chamber effluent, and then refueling the targets, 1216  will scale with the complexity of the operation and amount of tritium in the facility. 1217  Minimizing the amount of tritium in a power plant was an important consideration in 1218  designing the indirect- and drive-direct targets.24 More ambitious ideas were proposed for the 1219  indirect-drive concept that will require additional scientific and technical development to realize: 1220  drilling a hole in the target to add the fuel (and then resealing the hole) and achieving a 1221  uniformly thick fuel layer by suspending the fuel as a liquid within a foam layer. Combined, 1222  they would reduce the tritium inventory to less than 1 kg25 by recycling tritium through the 1223  facility in less than 8 hours. The first approach adds steps to the manufacturing process and 1224  should be technically feasible; the latter approach is also technically feasible, but it is unclear 1225  whether the liquid fuel can be cooled below its freezing point and still remain a liquid, which is 1226  what has to be done to achieve the gas density required in the capsule. If this is not possible, then 1227  an alternative and lengthier process is needed to form the ice layer, which would increase the 1228  tritium inventory. 1229  Minimizing the tritium inventory was a less important consideration for developing the 1230  direct-drive target. In any case, target tritium inventory for the direct-drive targets is much higher 1231  than for the current indirect-drive configuration. About 10 times more tritium is present in this 1232  target than in the indirect-drive target. Additionally, tritium is diffused into the capsule instead of 1233  flowing through a hole, which takes 2 to 4 days because of the fragility of the target and the 1234  quantity of fuel that has to be added.26 The process for forming the ice layer adds about 12 hours 1235  to the production cycle, which is the same process that the indirect-drive concept will use if it is 1236  not possible to subcool the liquid layer sufficiently to achieve the desired gas density.                                                              24 M. Dunne, LLNL, “LIFE Target System Performance,” presentation to the panel on July 7, 2011. 25 M. Dunne et al., LLNL, "Overview of the LIFE Power Plant," presentation to the panel on April 6, 2011. 26 J. Sethian, Naval Research Laboratory, “The HAPL Program to Develop the Science and Technologies for Direct- Drive Laser Fusion Energy,” presentation to the panel on September 20, 2011. 31   

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PREPUBLICATION COPY—SUBJECT TO FURTHER EDITORIAL CORRECTION  1237  Two main contributors to the total tritium inventory of an IFE plant will be these: 1238  • The amount of tritium that is trapped inside the target during the target assembly 1239  phases and 1240  • The amount that is entrained in the tritium-breeding and recovery processes (from 1241  the gaseous effluent from the reaction chamber). 1242  1243  At this stage, there is insufficient information to know the optimum balance between 1244  these sources and whether the effort to minimize the amount of tritium in the target assembly 1245  process is worth the added manufacturing and technical complexities. 1246  1247  32